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International Journal of Theoretical Physics

Deterministic Remote Preparation of an Arbitrary Single-Qudit State with High-Dimensional Spatial-Mode Entanglement via Linear-Optical Elements

Xiang Lu, Kun-Hong Feng, Ping Zhou

Published Feb 1, 2022• 11 citations
Publisher
DOI
10.1007/s10773-022-04976-4

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Linear-optical-based quantum information processing has attached much attention since photon is an ideal medium for transmitting quantum information remotely. Until now, there are some important works in quantum state remote preparation, the method for reconstructing quantum state deterministically via linear optics. However, most of the methods are protocols to prepare single-qubit states remotely via linear-optical elements. In this article, we investigate the methods to prepare two-qubit hybrid states remotely. We present a deterministic remote state preparation scheme for an arbitrary two-qubit hybrid state via a hyperentangled Bell state, resorting to linear-optical elements only. The sender rotates the spatial-mode state and polarization state of the hyperentangled photon respectively in accordance with his knowledge of the two-qubit hybrid state, and the receiver can reconstruct the original two-qubit hybrid state by applying appropriate recovery operations. Moreover, we discuss the remote state preparation scheme for the two-qubit hybrid state via partially hyperentangled Bell state.
Abstract High‐dimensional quantum system exhibits unique advantages over the qubit system in some quantum information processing tasks. A program is presented for implementing deterministic bidirectional controlled remote quantum state preparation (BCRSP) in arbitrary ‐dimensional (quNit) system. By introducing two generalized Greenberger–Horne–Zeilinger (GHZ) states as quantum channels, two communication parties can simultaneously prepare a single‐particle high‐dimensional state at each other's site under the control of Charlie. Compared with the previous counterparts, the significant advantage of our scheme is that the high‐dimensional CNOT operations are not required. Moreover, the performance of this scheme is evaluated. The evaluation of the performance shows that if the quNit is encoded in the spatial mode of single photons, this scheme can be accomplished solely using only linear optical elements.